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Format: | Buch |
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Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Springer
2009
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Ausgabe: | 2. ed. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XXII, 700 S. Ill., graph. Darst. |
ISBN: | 9781441912305 |
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Datensatz im Suchindex
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adam_text | IMAGE 1
CONTENTS
PART I. INTRODUCTION TO PATCH CLAMPING CHAPTER 1 A PRACTICAL GUIDE TO
PATCH CLAMPING
REINHOLD PENNER
1. INTRODUCTION 3
2. PATCH-CLAMP TECHNIQUES 4
2.1. THE PATCH-CLAMP CONFIGURATIONS 5
2.2. APPLICATIONS, ADVANTAGES, PROBLEMS 6
2.3. SPECIAL TECHNIQUES 7
3. THE PATCH-CLAMP SETUP 9
3.1. MECHANICS 11
3.2. OPTICS 12
3.3. MICROMANIPULATION 13
3.4. AMPLIFIERS 14
3.5. STIMULATORS 14
3.6. DATA ACQUISITION AND ANALYSIS 15
3.7. GROUNDING THE SETUP 16
4. PIPETTE FABRICATION 17
4.1. PIPETTE PULLERS 17
4.2. PIPETTE MICROFORGES 17
4.3. GLASS CAPILLARIES 18
4.4. PULLING 18
4.5. COATING 18
4.6. HEAT POLISHING 19
4.7. USE OF PIPETTES 19
4.8. PIPETTE HOLDERS 20
4.9. REFERENCE ELECTRODES 20
5. EXPERIMENTAL PROCEDURES 21
5.1. PREPARING EXPERIMENTS 21
5.2. FORMING A SEAL 21
5.3. PATCH RECORDING 22
5.4. WHOLE-CELL RECORDING 24
6. CAVEATS AND SOURCES OF ARTIFACTS 25
6.1. SOLUTIONS 26
6.2. ELECTRODES 27
6.3. DATA ACQUISITION 28
REFERENCES 28
IMAGE 2
X CONTENTS
CHAPTER 2
TIGHT-SEAL WHOLE-CELL RECORDING
ALAIN MARTY AND ERWIN NEHER
1. INTRODUCTION 31
2. BASIC PROCEDURES 31
3. THE WHOLE-CELL RECORDING CONFIGURATION FROM AN ELECTRICAL POINT OF
VIEW . . .. 33 3.1. THE EQUIVALENT CIRCUIT FOR A SIMPLE CELL 33
3.2. SERIES RESISTANCE ERRORS 34
3.3. CELL CAPACITANCE CANCELLATION 35
3.4. SERIES RESISTANCE COMPENSATION 35
3.5. CAPACITANCE CANCELLATION TOGETHER WITH SERIES RESISTANCE
COMPENSATION . . 37 3.6. CURRENT CLAMP 38
3.7. NOISE 38
3.8. EQUIVALENT CIRCUIT FOR A COMPLEX CELL 39
4. THE WHOLE-CELL RECORDING CONFIGURATION FROM A CHEMICAL POINT OF VIEW
42 4.1. MODELING DIFFUSION BETWEEN PIPETTE AND CELL COMPARTMENTS 42
4.2. A SOLUTION FOR A TWO-COMPARTMENT MODEL 42
4.3. EXTENSION TO MULTICOMPARTMENT CELLS 44
4.4. PIPETTE FILLING SOLUTIONS FOR WCR 45
4.5. PERFORATED PATCH RECORDING 45
4.6. CHANGES IN EFFECTIVE MEMBRANE VOLTAGE DURING WCR 47
5. COMPARISON OF WHOLE-CELL RECORDING WITH OTHER ELECTROPHYSIOLOGICAL
METHODS TO RECORD FROM CELLS 50
REFERENCES 51
CHAPTER 3
GUIDE TO DATA ACQUISITION AND ANALYSIS
STEFAN H. HEINEMANN
1. INTRODUCTION 53
1.1. LEVELS OF ANALYSIS 54
1.2. ANALYSIS STARTS BEFORE THE EXPERIMENT 55
2. DATA ACQUISITION AND PREANALYSIS 56
2.1. DATA ACQUISITION 56
2.2. DATA STORAGE AND RETRIEVAL 61
2.3. INTERFACE TO OTHER PROGRAMS 63
3. SINGLE-CHANNEL ANALYSIS 63
3.1. DATA PREPARATION 64
3.2. EVENT DETECTION 65
3.3. ANALYSIS OF HISTOGRAMS 67
3.4. OPEN-CHANNEL ANALYSIS 71
4. ANALYSIS OF MACROSCOPIC CURRENTS 74
4.1. PARAMETER CONTROL IN RELAXATION EXPERIMENTS 74
4.2. SIGNAL AVERAGING AND LEAK CORRECTION 75
IMAGE 3
CONTENTS XI
4.3. RELAXATION EXPERIMENTS 77
4.4. NOISE ANALYSIS 80
5. MULTIPURPOSE PROGRAMS 82
5.1. DATA PRESENTATION 82
5.2. DATA ADMINISTRATION 83
5.3. TABLE CALCULATIONS 83
5.4. CURVE-FITTING PROGRAMS WITH PROGRAMMING CAPABILITIES 83
6. CHOICES FOR HARDWARE AND SOFTWARE 83
6.1. CRITERIA FOR THE SELECTION OF HARDWARE 85
6.2. CRITERIA FOR THE SELECTION OF SOFTWARE 87
REFERENCES 90
PART II. METHODS
CHAPTER 4 ELECTRONIC DESIGN OF THE PATCH CLAMP
F. J. SIGWORTH
1. INTRODUCTION 95
2. CURRENT-MEASUREMENT CIRCUITRY 95
2.1. CURRENT-VOLTAGE CONVERTER 95
2.2. DYNAMICS OF THE I-V CONVERTER 97
2.3. CORRECTING THE FREQUENCY RESPONSE 100
2.4. CAPACITOR-FEEDBACK I-V CONVERTER 103
3. BACKGROUND NOISE IN THE CURRENT-VOLTAGE CONVERTER 107
3.1. NOISE IN THE FEEDBACK RESISTOR 107
3.2. NOISE IN THE AMPLIFIER 109
3.3. EXAMPLE OF A LOW-NOISE AMPLIFIER DESIGN 114
3.4. SUMMARY OF NOISE SOURCES 116
4. CAPACITANCE TRANSIENT CANCELLATION 117
4.1. OVERLOAD EFFECTS IN THE PATCH CLAMP 117
4.2. FAST TRANSIENT CANCELLATION 118
4.3. SLOW TRANSIENT CANCELLATION 119
5. SERIES RESISTANCE COMPENSATION 120
5.1. THEORY 121
5.2. EFFECT OF FAST TRANSIENT CANCELLATION 124
5.3. INCORPORATING SLOW TRANSIENT CANCELLATION 124
REFERENCES 126
CHAPTER 5
LOW-NOISE RECORDING
KLAUS BENNDORF
1. INTRODUCTION 129
IMAGE 4
X LL CONTENTS
2. TYPES OF NOISE 129
2.1. CURRENT NOISE GENERATED BY THERMAL VOLTAGE NOISE 130
2.2. SHOT NOISE 132
2.3. 1//NOISE 132
3. A STRATEGY FOR REDUCING NOISE 132
3.1. HOLDER AND PIPETTE CAPACITANCE 132
3.2. CAPACITANCE OF THE IMMERSED PIPETTE TIP 133
3.3. PIPETTE RESISTANCE 133
3.4. DIELECTRIC LOSS 135
3.5. PORE DIAMETER 137
3.6. FLUID FILMS 139
4. MEASURED NOISE 139
5. PERSPECTIVES 140
6. NOISE-DEPENDENT RESOLUTION LIMITS OF CHANNEL-OPEN TIME 141
6.1. THE HALF-AMPLITUDE THRESHOLD TECHNIQUE 141
6.2. THE BASELINE METHOD 141
7. APPENDIX 144
7.1. FABRICATION OF SMALL-PORE PATCH PIPETTES 144
7.2. INTERFERING SIGNALS 145
REFERENCES 145
CHAPTER 6
VOLTAGE OFFSETS IN PATCH-CLAMP EXPERIMENTS
ERWIN NEHER
1. INTRODUCTION 147
2. ANALYSIS OF THE OFFSET PROBLEM 147
3. THREE STRATEGIES FOR HANDLING THE OFFSET PROBLEM 149
3.1. A POSTERIORI CORRECTION 149
3.2. ON-LINE CORRECTION 150
3.3. ON-LINE CORRECTION USING A COMPUTER-CONTROLLED PATCH-CLAMP
AMPLIFIER . . 151 4. CONCLUSIONS 152
REFERENCES 153
CHAPTER 7
TECHNIQUES FOR MEMBRANE CAPACITANCE MEASUREMENTS
KEVIN D. GILLIS
1. INTRODUCTION 155
1.1. SAMPLE RECORDINGS OF MEMBRANE CAPACITANCE 156
1.2. THE EQUIVALENT CIRCUIT OF A CELL IN THE PATCH-CLAMP RECORDING
CONFIGURATION 156 1.3. PARAMETER ESTIMATION USING CAPACITY TRANSIENT
NEUTRALIZATION CIRCUITRY OF PATCH-CLAMP AMPLIFIERS 158
1.4. TYPES OF VOLTAGE-CLAMP STIMULI USED TO MEASURE MEMBRANE CAPACITANCE
. . 159
IMAGE 5
CONTENTS XLLL
2. SQUARE-WAVE STIMULATION: THE TIME DOMAIN TECHNIQUE 160
2.1. ELECTRONIC TRANSIENT NEUTRALIZATION APPROXIMATES A THREE-ELEMENT
NETWORK WITH TWO ELEMENTS 161
3. SINUSOIDAL EXCITATION 162
3.1. INTRODUCTION TO COMPLEX IMPEDANCE ANALYSIS 162
3.2. PARAMETER ESTIMATION FROM BASIC CIRCUIT ANALYSIS: THE LINDAU-NEHER
TECHNIQUE 166
3.3. PIECE WISE-LINEAR TECHNIQUES FOR ESTIMATING CHANGES IN MEMBRANE
CAPACITANCE 169
4. STIMULATION WITH SIGNALS CONTAINING MULTISPECTRAL COMPONENTS 176
4.1. STIMULATION WITH TWO SINUSOIDS 176
4.2. STIMULATION WITH A PSEUDORANDOM BINARY SEQUENCE 177
5. RESOLUTION LIMITS OF MEMBRANE CAPACITANCE MEASUREMENTS 177
5.1. THERMAL (JOHNSON) NOISE LIMITS THE RESOLUTION OF C M MEASUREMENTS .
.. 178 5.2. EXCESS NOISE SOURCES 181
5.3. RESULTS OF NOISE MEASUREMENTS 185
6. PRACTICAL APPLICATION, HINTS, AND WARNINGS 187
6.1. CHOOSING THE TECHNIQUE 187
6.2. THE RECORDING CONFIGURATION 189
6.3. SUGGESTIONS FOR LOW-NOISE RECORDING 190
6.4. SOME SOURCES OF ERRORS AND ARTIFACTS 191
APPENDIX A. PHASE-SENSITIVE DETECTION 194
APPENDIX B. DERIVATION OF EQUATION 38 196
REFERENCES 197
CHAPTER 8
PATCH-PIPETTE RECORDINGS FROM THE SOMA, DENDRITES, AND AXON OF NEURONS
IN BRAIN SLICES
BERT SAKMANN AND GREG STUART
1. INTRODUCTION 199
2. PREPARATION OF BRAIN SLICES 199
2.1. PREPARATION OF TISSUE FOR SLICING 200
2.2. SLICING 200
2.3. INCUBATION OF SLICES 201
2.4. MECHANICAL FIXATION OF THE SLICE FOR RECORDING 202
3. VISUALIZATION OF NERVE CELLS USING IR-DIC 202
3.1. OPTICAL SETUP 202
3.2. MECHANICAL SETUP 203
3.3. VIEWING WITH IR-DIC 204
4. THE BLOW AND SEAL TECHNIQUE 204
4.1. PATCH-PIPETTE TECHNIQUES 204
4.2. VERIFICATION OF DENDRITIC OR AXONAL RECORDINGS 207
4.3. PROBLEMS ASSOCIATED WITH RECORDING FROM SMALL NEURONAL STRUCTURES .
. . 207
IMAGE 6
XIV CONTENTS
5. EXAMPLES OF RECORDINGS FROM DENDRITES 208
5.1. CELL-ATTACHED PATCH RECORDINGS 208
5.2. WHOLE-CELL RECORDINGS 208
5.3. OUTSIDE-OUT PATCH RECORDINGS 208
5.4. TWO-PIPETTE RECORDINGS 209
6. DISCUSSION AND CONCLUSIONS 210
REFERENCES 211
CHAPTER 9
PATCH CLAMP AND CALCIUM IMAGING IN BRAIN SLICES
JENS EILERS, RALF SCHNEGGENBURGER, AND ARTHUR KONNERTH
1. INTRODUCTION 213
2. SETUP 213
2.1. SINGLE-PHOTOMULTIPLIER DETECTOR SYSTEM 214
2.2. IMAGING OF CHANGES IN INTRACELLULAR CALCIUM CONCENTRATION 215
2.3. PATCH-CLAMP AND CONFOCAL MICROSCOPY IN BRAIN SLICES 216
3. PROCEDURES AND TECHNIQUES 217
3.1. PIPETTE SOLUTIONS AND INDICATOR DYES 217
3.2. DYE-LOADING PROCEDURES 219
3.3. BACKGROUND SUBTRACTION 219
3.4. CALIBRATION PROCEDURES FOR RATIOMETRIC CALCIUM MEASUREMENTS 221
3.5. DYE BLEACHING AND PHOTOTOXIC DAMAGE 221
4. EXAMPLES AND APPLICATIONS 222
4.1. CHANGES IN [CA 2+ ]J IN SOMA AND DENDRITES OF HIPPOCAMPAL PYRAMIDAL
NEURONS 222 4.2. CALCIUM FLUX MEASUREMENTS 223
4.3. LOCALIZED DENDRITIC CALCIUM SIGNALS 225
REFERENCES 227
CHAPTER 10
FAST APPLICATION OF AGONISTS TO ISOLATED MEMBRANE PATCHES
PETER JONAS
1. INTRODUCTION AND HISTORY 231
2. APPLICATION PIPETTES 233
2.1. THETA GLASS TUBING 233
2.2. PULLING AND BREAKING 234
2.3. TUBING CONNECTORS 234
2.4. MOUNTING THE APPLICATION PIPETTE TO THE PIEZO TRANSLATOR 234
2.5. MOUNTING THE PIEZO TRANSLATOR TO THE SETUP 235
2.6. PERFUSION OF APPLICATION PIPETTES 235
2.7. CLEANING OF APPLICATION PIPETTES 236
2.8. SHARPNESS OF THE INTERFACE 236
3. PIEZOELECTRIC ELEMENTS AND POWER SUPPLIES 236
3.1. PIEZOELECTRIC ELEMENTS 236
3.2. POWER SUPPLIES 237
IMAGE 7
CONTENTS XV
4. TESTS OF THE RELIABILITY OF SOLUTION EXCHANGE 237
4 . 1. OPEN-TIP RESPONSE 237
4.2. MAPPING OUT THE OPTIMAL POSITION 239
4 . 3. TEST AT AN INTACT MEMBRANE PATCH 240
4.4. INFLUENCE OF PATCH SIZE AND GEOMETRY ON SOLUTION EXCHANGE TIME . .
.. 240
4.5. VIBRATIONS AND CHARGING ARTIFACTS 240
5. EXAMPLES 242
REFERENCES 242
CHAPTER 11
ELECTROCHEMICAL DETECTION OF SECRETION FROM SINGLE CELLS
ROBERT H. CHOW AND LUDOLF VON RUEDEN
1. INTRODUCTION 245
2. PRINCIPLES 249
2.1. ELECTROCHEMICAL DETECTION 249
2.2. QUANTITATIVE ELECTROCHEMISTRY 250
2.3. VOLTAMMETRIC TECHNIQUES 250
2.4. A LITTLE DIFFUSION THEORY 253
3. SETUP 257
3.1. ELECTRODES 257
3.2. INSTRUMENTATION 261
3.3. RECORDING CONFIGURATION 262
4. EXPERIMENTAL CONSIDERATIONS AND ANALYSIS 264
4.1 AMPEROMETRY 264
4.2 CYCLIC VOLTAMMETRY 267
5. CONCLUSIONS AND PROSPECTS 268
APPENDIX 269
REFERENCES 272
CHAPTER 12 TECHNICAL APPROACHES TO STUDYING SPECIFIC PROPERTIES OF ION
CHANNELS IN PLANTS
RAINER HEDRICH
1. INTRODUCTION: WHY DO PLANTS NEED ION CHANNELS? 277
1.1. SOLUTE TRANSPORT 277
1.2. NONCHANNEL SOLUTE TRANSPORTERS 284
1.3. WATER CHANNELS: TRANSPORTING THE SOLVENT 285
2. EXPERIMENTAL PROCEDURES 285
2.1. THE PLASMA MEMBRANE 286
2.2. ENDOMEMBRANES 291
2.3. PATCH-CLAMP CONFIGURATIONS APPLICABLE TO DIFFERENT PLANT MEMBRANES
. . . 295 2.4. HETEROLOGOUS EXPRESSION 297
2.5. HETEROLOGOUS EXPRESSION OF ANIMAL TRANSPORTERS IN PLANTS 298 3.
OUTLOOK 300
REFERENCES 300
IMAGE 8
XVI CONTENTS
CHAPTER 13
THE GIANT MEMBRANE PATCH
DONALD W. HILGEMANN
1. INTRODUCTION 307
2. GIANT-PATCH METHODS 307
2.1. PIPETTE PREPARATION 307
2.2. PIPETTE COATING 310
2.3. MEMBRANE BLEBBING 311
2.4. SEAL FORMATION: SMALL CELLS AND BLEBBED CELLS 311
2.5. SEAL FORMATION: INSIDE-OUT OOCYTE PATCHES 313
2.6. SEAL FORMATION: OUTSIDE-OUT OOCYTE PATCHES 315
2.7. PIPETTE PERFUSION 315
2.8. MEASUREMENT OF MEMBRANE PATCH CAPACITANCE 318
3. GIANT-PATCH RECORDING 319
3.1. PATCH-CLAMP SPEED 319
3.2. FAST SOLUTION SWITCHING 320
3.3. SINGLE-CHANNEL RECORDING 321
3.4. MANIPULATION OF PATCH MEMBRANE COMPOSITION 322
3.5. NEURONAL CALCIUM CURRENT AND THE STATUS OF CYTOSKELETON IN GIANT
PATCHES 324 4. PERSPECTIVES 326
REFERENCES 326
CHAPTER 14 A FAST PRESSURE-CLAMP TECHNIQUE FOR STUDYING MECHANOGATED
CHANNELS
DON W. MCBRIDE, JR., AND OWEN P. HAMILL
1. INTRODUCTION 329
2. SUMMARY OF METHODS FOR ACTIVATING SINGLE MG CHANNELS 330
3. MECHANICAL ARRANGEMENT OF THE IMPROVED PRESSURE CLAMP 331
4. ELECTRONIC CONTROL OF THE PRESSURE CLAMP 333
5. PERFORMANCE OF THE IMPROVED CLAMP 335
6. THEORETICAL CONSTRAINTS ON THE SPEED AND NOISE OF THE PRESSURE CLAMP
337 7. PRESSURE-CLAMP USE FOR SEALING PROTOCOLS 338
REFERENCES 339
CHAPTER 15
ELECTROPHYSIOLOGICAL RECORDINGS FROM XENOPUS OOCYTES
WALTER STIIHMER AND ANANT B. PAREKH
1. INTRODUCTION 341
1.1. THE OOCYTE EXPRESSION SYSTEM 341
1.2. ADVANTAGES OF THE OOCYTE SYSTEM 341
1.3. DISADVANTAGES OF THE OOCYTE SYSTEM 342
IMAGE 9
CONTENTS XV11
2. PROCEDURES AND TECHNIQUES 343
2.1. ISOLATION OF SINGLE OOCYTES 343
2.2. INJECTION OF OOCYTES 346
2.3. RECORDINGS 348
3. ENDOGENOUS CURRENTS TO THE OOCYTE 352
3.1. CA 2+ -ACTIVATED CL CHANNEL 352
3.2. VOLTAGE-DEPENDENT CA 2+ CHANNEL 353
3.3. POOL-DEPLETION-ACTIVATED CURRENT 353
3.4. STRETCH-ACTIVATED CHANNELS 353
3.5. NA + CHANNELS 354
3.6. K + CHANNELS 354
4. APPLICATIONS 354
4.1. PROPERTIES OF ION CHANNELS 354
4.2. CA 2+ SIGNALING 355
4.3. SECRETION 355
REFERENCES 355
CHAPTER 16
POLYMERASE CHAIN REACTION ANALYSIS OF ION CHANNEL EXPRESSION IN SINGLE
NEURONS OF BRAIN SLICES
HANNAH MONYER AND PETER JONAS
1. INTRODUCTION 357
2. CELL IDENTIFICATION, RECORDING, HARVESTING, AND EXPELLING 358
2.1. WHOLE-CELL CONFIGURATION 358
2.2. HARVESTING OF CELL CONTENT 360
2.3. EXPELLING 361
3. MOLECULAR ANALYSIS OF MRNA EXPRESSION 363
3.1. CDNA SYNTHESIS 363
3.2. PCR AMPLIFICATION 364
3.3. CLONING OF THE PCR PRODUCT 367
3.4. PLAQUE QUANTIFICATION 368
4. EXAMPLE 369
REFERENCES 373
CHAPTER 17
FORCE MICROSCOPY ON MEMBRANE PATCHES: A PERSPECTIVE
J. K. HEINRICH HOERBER, JOHANNES MOSBACHER, AND WALTER HAEBERLE
1. INTRODUCTION 375
2. FORCE MICROSCOPY 377
3. FORCE MICROSCOPY ON WHOLE CELLS 380
4. FORCE MICROSCOPY ON EXCISED PATCHES 383
4.1. CONSTRUCTION OF THE SETUP 383
4.2. EXPERIMENTAL PROCEDURES 385
IMAGE 10
XVLLL CONTENTS
4.3. OUTLOOK 392
REFERENCES 392
PART III. ANALYSIS
CHAPTER 18 THE PRINCIPLES OF THE STOCHASTIC INTERPRETATION OF
ION-CHANNEL MECHANISMS
DAVID COLQUHOUN AND ALAN G. HAWKES
1. THE NATURE OF THE PROBLEM 397
1.1. REACTION MECHANISMS AND RATES 397
1.2. RATE CONSTANTS AND PROBABILITIES 399
1.3. FRACTAL AND DIFFUSION MODELS 400
2. PROBABILITIES AND CONDITIONAL PROBABILITIES 401
3. THE DISTRIBUTION OF RANDOM TIME INTERVALS 403
3.1. THE LIFETIME IN AN INDIVIDUAL STATE 403
3.2. ANOTHER APPROACH TO THE EXPONENTIAL DISTRIBUTION 405
3.3. GENERALIZATIONS 406
3.4. RELATIONSHIP BETWEEN SINGLE-CHANNEL EVENTS AND WHOLE-CELL CURRENTS
. . . 407 3.5. POOLING STATES THAT EQUILIBRATE RAPIDLY 408
4. A MECHANISM WITH MORE THAN ONE SHUT STATE: THE SIMPLE OPEN ION
CHANNEL- BLOCK MECHANISM 409
4.1. A SIMPLE ION CHANNEL-BLOCK MECHANISM 409
4.2. RELAXATION AND NOISE 409
4.3. OPEN LIFETIMES OF SINGLE CHANNELS 411
4.4. SHUT LIFETIMES OF SINGLE CHANNELS 412
4.5. BURSTS OF OPENINGS 412
4.6. THE NUMBER OF OPENINGS PER BURST 414
4.7. LIFETIME OF VARIOUS STATES AND COMPOUND STATES 416
4.8. DERIVATION OF BURST LENGTH DISTRIBUTION FOR THE CHANNEL-BLOCK
MECHANISM 418 5. A SIMPLE AGONIST MECHANISM 420
5.1. SHUT TIMES 420
5.2. BURSTS OF OPENINGS 421
5.3. EFFECTIVE OPENINGS 422
5.4. MACROSCOPIC CURRENTS 423
6. SOME FALLACIES AND PARADOXES 424
6.1. THE WAITING TIME PARADOX 424
6.2. THE UNBLOCKED CHANNEL FALLACY 426
6.3. THE LAST OPENING OF A BURST FALLACY 426
6.4. THE TOTAL OPEN TIME PER BURST PARADOX 427
7. REVERSIBLE AND IRREVERSIBLE MECHANISMS 427
7.1. A SIMPLE EXAMPLE 428
7.2. DISTRIBUTION OF THE LIFETIME OF AN OPENING 429
7.3. PROBABILITIES OF PARTICULAR SEQUENCES OF TRANSITIONS WHEN THE OPEN
STATES ARE DISTINGUISHABLE 430
IMAGE 11
CONTENTS XIX
8. THE PROBLEM OF THE NUMBER OF CHANNELS 431
8.1. ESTIMATION OF THE NUMBER OF CHANNELS 432
8.2. EVIDENCE FOR THE PRESENCE OF ONLY ONE CHANNEL 433
8.3. USE OF SHUT PERIODS WITHIN BURSTS 436
9. DISTRIBUTION OF THE SUM OF SEVERAL RANDOM INTERVALS 436
9.1. THE SUM OF TWO DIFFERENT EXPONENTIALLY DISTRIBUTED INTERVALS 436
9.2. THE DISTRIBUTION OF THE SUM OF N EXPONENTIALLY DISTRIBUTED
INTERVALS. . . . 438 9.3. THE DISTRIBUTION OF A RANDOM NUMBER OF
EXPONENTIALLY DISTRIBUTED INTERVALS 439 10. CORRELATIONS AND
CONNECTIVITY 440
10.1. ORIGINS OF CORRELATIONS 440
10.2. MEASUREMENT AND DISPLAY OF CORRELATIONS 441
10.3. CORRELATIONS AS A TEST OF MARKOV ASSUMPTIONS 442
10.4. TWO-DIMENSIONAL DISTRIBUTIONS 442
10.5. THE DECAY OF CORRELATIONS 445
10.6. SPURIOUS CORRELATIONS 445
11. SINGLE CHANNELS AND MACROSCOPIC CURRENTS AFTER A JUMP 445
11.1. SINGLE CHANNELS AFTER A JUMP IN THE ABSENCE OF CORRELATIONS 446
11.2. SINGLE CHANNELS AFTER A JUMP IN THE PRESENCE OF CORRELATIONS 448
11.3. THE RELATIONSHIP BETWEEN SINGLE-CHANNEL CURRENTS AND MACROSCOPIC
CURRENTS 448 12. THE TIME INTERVAL OMISSION PROBLEM 453
12.1. DEFINITION OF THE PROBLEM 453
12.2. THE TWO-STATE CASE 455
12.3. THE GENERAL MARKOV MODEL 457
12.4. JOINT DISTRIBUTIONS OF ADJACENT INTERVALS 460
12.5. MAXIMUM-LIKELIHOOD FITTING 461
13. A MORE GENERAL APPROACH TO THE ANALYSIS OF SINGLE-CHANNEL BEHAVIOUR
464 13.1. SPECIFICATION OF TRANSITION RATES 464
13.2. DERIVATION OF PROBABILITIES 465
13.3. THE OPEN-TIME AND SHUT-TIME DISTRIBUTIONS 466
13.4. A GENERAL APPROACH TO BURSTS OF ION-CHANNEL OPENINGS 468
13.5. SOME CONCLUSIONS FROM THE GENERAL TREATMENT 473
13.6. DISTRIBUTIONS FOLLOWING A JUMP 474
13.7. TIME INTERVAL OMISSION AND MAXIMUM-LIKELIHOOD FITTING 476
14. CONCLUDING REMARKS 478
REFERENCES 479
CHAPTER 19 FITTING AND STATISTICAL ANALYSIS OF SINGLE-CHANNEL RECORDS
DAVID COLQUHOUN AND F. J. SIGWORTH 1. INTRODUCTION 483
2. ACQUIRING DATA 484
2.1. PULSED AND CONTINUOUS RECORDINGS 484
2.2. FILTERING THE DATA 484
2.3. DIGITIZING THE DATA 487
3. FINDING CHANNEL EVENTS 489
3.1. DESCRIPTION OF THE PROBLEM 490
IMAGE 12
XX CONTENTS
3.2. CHOOSING THE FILTER CHARACTERISTICS 491
3.3. SETTING THE THRESHOLD 495
3.4. PRACTICAL EVENT DETECTION 497
4. CHARACTERIZING SINGLE-CHANNEL EVENTS 498
4.1. HALF- AMPLITUDE THRESHOLD ANALYSIS 499
4.2. DIRECT FITTING OF THE CURRENT TIME COURSE 503
4.3. EVENT CHARACTERIZATION USING A COMPUTER 510
5. THE DISPLAY OF DISTRIBUTIONS 514
5.1. HISTOGRAMS AND PROBABILITY DENSITY FUNCTIONS 514
5.2. MISSED EVENTS: IMPOSITION OF A CONSISTENT TIME RESOLUTION 522 5.3.
THE AMPLITUDE DISTRIBUTION 525
5.4. THE OPEN AND SHUT LIFETIME DISTRIBUTIONS 532
5.5. BURST DISTRIBUTIONS 534
5.6. CLUSTER DISTRIBUTIONS 537
5.7. MEASUREMENT AND DISPLAY OF CORRELATIONS 538
5.8. DISTRIBUTIONS FOLLOWING A JUMP: OPEN TIMES, SHUT TIMES, AND BURSTS
. . . 540 5.9. TESTS FOR HETEROGENEITY 542
6. THE FITTING OF DISTRIBUTIONS 543
6.1. THE NATURE OF THE PROBLEM 543
6.2. CRITERIA FOR THE BEST FIT 545
6.3. OPTIMIZING METHODS 547
6.4. THE MINIMUM-X 2 METHOD 551
6.5. THE METHOD OF MAXIMUM LIKELIHOOD: BACKGROUND 552
6.6. MAXIMUM LIKELIHOOD FOR A SIMPLE EXPONENTIAL DISTRIBUTION 553 6.7.
ERRORS OF ESTIMATES: THE SIMPLE EXPONENTIAL CASE 555
6.8. MAXIMUM-LIKELIHOOD ESTIMATES: THE GENERAL CASE 558
6.9. ERRORS OF ESTIMATION IN THE GENERAL CASE 563
6.10. NUMERICAL EXAMPLE OF FITTING OF EXPONENTIALS 566
6.11. EFFECTS OF LIMITED TIME RESOLUTION 568
6.12. DIRECT FITTING OF MECHANISMS 569
6.13. FITTING THE RESULTS AFTER A JUMP 570
APPENDIX 1. CHOICE OF THE THRESHOLD FOR EVENT DETECTION 571
APPENDIX 2. THE EXPECTED DISTRIBUTION OF FITTED AMPLITUDES 574
APPENDIX 3. NUMERICAL TECHNIQUES FOR SINGLE-CHANNEL ANALYSIS 576 A3.1. A
DIGITAL GAUSSIAN FILTER 576
A3.2. CUBIC SPLINE INTERPOLATION 580
A3.3. ERROR FUNCTION EVALUATION 585
A3.4. A CALLING ROUTINE FOR AMOEBA 585
REFERENCES 585
CHAPTER 20 A Q-MATRIX COOKBOOK: HOW TO WRITE ONLY ONE PROGRAM TO
CALCULATE THE SINGLE-CHANNEL AND MACROSCOPIC PREDICTIONS FOR ANY KINETIC
MECHANISM
DAVID COLQUHOUN AND ALAN G. HAWKES
1. INTRODUCTION 589
IMAGE 13
CONTENTS XXI
2. BASIC NOTATION AND A PARTICULAR MECHANISM 591
2.1. A FIVE-STATE MECHANISM 592
2.2. THE Q MATRIX 593
3. EQUILIBRIUM STATE OCCUPANCIES 594
3.1. THE DETERMINANT METHOD 595
3.2. THE MATRIX METHOD 595
4. RELAXATION TO EQUILIBRIUM 597
4.1. GENERAL SOLUTIONS FOR THE RATE OF APPROACH TO EQUILIBRIUM 597
4.2. EVALUATION OF P(T) AS A SUM OF EXPONENTIAL COMPONENTS 598
4.3. EXPRESSING THE COEFFICIENTS AS SCALARS 599
4.4. THE CURRENT THROUGH A CHANNEL 600
4.5. NUMERICAL RESULTS 601
4.6. EXAMPLE OF A CONCENTRATION JUMP 602
5. DISTRIBUTION OF OPEN TIMES AND SHUT TIMES 603
5.1. DISTRIBUTION OF OPEN TIMES 603
5.2. DISTRIBUTION OF SHUT TIMES 605
6. DISTRIBUTION OF THE NUMBER OF OPENINGS PER BURST 607
7. DISTRIBUTION OF BURST LENGTH 610
7.1. COMPARISON WITH RELAXATION 611
7.2. TOTAL OPEN TIME PER BURST 612
8. CHANNEL OPENINGS AFTER A JUMP 612
9. CALCULATING THE EXPONENTIAL OF A MATRIX 613
9.1. FUNCTIONS OF A MATRIX 613
9.2. CALCULATION OF THE SPECTRAL MATRICES 615
9.3. OTHER EXPONENTIALS 616
9.4. CALCULATION OF SPECTRAL MATRICES USING THE NAG LIBRARY 616
9.5. CALCULATION OF MATRIX EXPONENTIALS USING MAPLE 618
9.6. CALCULATION OF SPECTRAL MATRICES AND MATRIX EXPONENTIALS USING
MATHEMATICA 619
9.7. ANOTHER WAY TO CALCULATE THE EXPONENTIAL OF A MATRIX 620
9.8. FURTHER MATHEMATICAL NOTES 621
10. TIME INTERVAL OMISSION 622
11. CONCLUDING REMARKS 622
APPENDIX 1. A BRIEF INTRODUCTION TO MATRIX NOTATION 623
A L . L. ELEMENTS OF A MATRIX 623
A1.2. VECTORS 623
A1.3. EQUALITY OF MATRICES 623
A 1.4. ADDITION AND SUBTRACTION OF MATRICES 624
A 1.5. MULTIPLICATION OF MATRICES 624
A 1.6. SOME MORE EXAMPLES OF MATRIX MULTIPLICATION 625
A1.7. THE IDENTITY MATRIX 626
A 1.8. DETERMINANTS 626
A 1.9. DIVISION OF MATRICES 627
A 1.10. DIFFERENTIATION OF A MATRIX 628
AL.L T. TRANSPOSE OF A MATRIX 628
A1.12. EIGENVALUES AND EIGENVECTORS OF A MATRIX 628
IMAGE 14
XX11 CONTENTS
APPENDIX 2. SOME APL CODE 632
REFERENCES 633
PART IV. CLASSICS
CHAPTER 21 GEOMETRIC PARAMETERS OF PIPETTES AND MEMBRANE PATCHES
BERT SAKMANN AND ERWIN NEHER
1. INTRODUCTION 637
2. GEOMETRY OF PATCH PIPETTES 637
2.1. TIP SHAPE OF SOFT GLASS PIPETTES 637
2.2. TIP SHAPE OF HARD GLASS PIPETTES 639
2.3. TIP SHAPE OF THICK-WALLED PIPETTES 640
3. GEOMETRY OF MEMBRANE PATCHES 643
3.1. PATCH AREA BY OBSERVATION IN THE LIGHT MICROSCOPE 643
3.2. PATCH AREA AS MEASURED BY PATCH CAPACITANCE 645
4. CONCLUSIONS 649
REFERENCES 650
CHAPTER 22 CONFORMATIONAL TRANSITIONS OF IONIC CHANNELS
P. LAEUGER
1. INTRODUCTION 651
2. TWO-STATE CHANNEL WITH A SINGLE BINDING SITE 652
2.1. CONCENTRATION DEPENDENCE OF CONDUCTANCE 654
2.2. CARRIER-LIKE BEHAVIOR OF CHANNELS 656
2.3. SINGLE-CHANNEL CURRENTS WITH RECTIFYING BEHAVIOR 657
3. NONEQUILIBRIUM DISTRIBUTION OF LONG-LIVED CHANNEL STATES 658
4. CURRENT NOISE IN OPEN CHANNELS 660
5. CONCLUSION 661
REFERENCES 662
APPENDIX: IMPROVED PATCH-CLAMP TECHNIQUES FOR HIGH-RESOLUTION CURRENT
RECORDING FROM CELLS AND CELL-FREE MEMBRANE PATCHES 663
INDEX 679
|
any_adam_object | 1 |
author_GND | (DE-588)123085357 |
building | Verbundindex |
bvnumber | BV036738724 |
classification_rvk | VE 7100 WC 3460 WE 5000 WE 5400 |
classification_tum | BIO 781f MED 606f BIO 655f CHE 887f |
ctrlnum | (OCoLC)699570454 (DE-599)BVBBV036738724 |
dewey-full | 570 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 570 - Biology |
dewey-raw | 570 |
dewey-search | 570 |
dewey-sort | 3570 |
dewey-tens | 570 - Biology |
discipline | Chemie / Pharmazie Biologie Chemie Medizin |
edition | 2. ed. |
format | Book |
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genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content |
genre_facet | Aufsatzsammlung |
id | DE-604.BV036738724 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:46:58Z |
institution | BVB |
isbn | 9781441912305 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020656225 |
oclc_num | 699570454 |
open_access_boolean | |
owner | DE-20 DE-703 DE-29 DE-29T |
owner_facet | DE-20 DE-703 DE-29 DE-29T |
physical | XXII, 700 S. Ill., graph. Darst. |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | Springer |
record_format | marc |
spelling | Single-channel recording ed. by Bert Sakmann ... Single channel recording 2. ed. New York [u.a.] Springer 2009 XXII, 700 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ionenflotation (DE-588)4162311-3 gnd rswk-swf Biomembran (DE-588)4006884-5 gnd rswk-swf Ionenkanal (DE-588)4138699-1 gnd rswk-swf Untersuchungsmethode (DE-588)4324907-3 gnd rswk-swf Ionentransport (DE-588)4162351-4 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Ionenkanal (DE-588)4138699-1 s Untersuchungsmethode (DE-588)4324907-3 s DE-604 Biomembran (DE-588)4006884-5 s Ionentransport (DE-588)4162351-4 s Ionenflotation (DE-588)4162311-3 s 2\p DE-604 Sakmann, Bert 1942- Sonstige (DE-588)123085357 oth Erscheint auch als Online-Ausgabe 978-1-4419-1229-9 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020656225&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Single-channel recording Ionenflotation (DE-588)4162311-3 gnd Biomembran (DE-588)4006884-5 gnd Ionenkanal (DE-588)4138699-1 gnd Untersuchungsmethode (DE-588)4324907-3 gnd Ionentransport (DE-588)4162351-4 gnd |
subject_GND | (DE-588)4162311-3 (DE-588)4006884-5 (DE-588)4138699-1 (DE-588)4324907-3 (DE-588)4162351-4 (DE-588)4143413-4 |
title | Single-channel recording |
title_alt | Single channel recording |
title_auth | Single-channel recording |
title_exact_search | Single-channel recording |
title_full | Single-channel recording ed. by Bert Sakmann ... |
title_fullStr | Single-channel recording ed. by Bert Sakmann ... |
title_full_unstemmed | Single-channel recording ed. by Bert Sakmann ... |
title_short | Single-channel recording |
title_sort | single channel recording |
topic | Ionenflotation (DE-588)4162311-3 gnd Biomembran (DE-588)4006884-5 gnd Ionenkanal (DE-588)4138699-1 gnd Untersuchungsmethode (DE-588)4324907-3 gnd Ionentransport (DE-588)4162351-4 gnd |
topic_facet | Ionenflotation Biomembran Ionenkanal Untersuchungsmethode Ionentransport Aufsatzsammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020656225&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT sakmannbert singlechannelrecording |